Find the volume of the solid generated by revolving the region bounded above by yequals12 cosine x and below by yequals3 secant x, negative StartFraction pi Over 3 EndFraction less than or equals x less than or equals StartFraction pi Over 3 EndFraction about the x-axis.

Step-by-step explanation:

The curves and the region bounded are shown in the attachment.

The region is revolved around x axis.

We have to find the volume of the resulting solid

Limits for x are

The region lies above 3 secx =y and below y= 12 cos x

So volume=

substitute limits

= cubic units

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation:

idk

step-by-step explanation:

payback